Certainly! Let's break down and solve the given expression step by step: [tex]\( 22^8 + (31^6 + 21^3) \)[/tex].
### Step 1: Calculate [tex]\( 22^8 \)[/tex]
First, we calculate [tex]\( 22^8 \)[/tex]:
[tex]\[ 22^8 = 54875873536 \][/tex]
### Step 2: Calculate [tex]\( 31^6 \)[/tex]
Next, we calculate [tex]\( 31^6 \)[/tex]:
[tex]\[ 31^6 = 887503681 \][/tex]
### Step 3: Calculate [tex]\( 21^3 \)[/tex]
Now, we calculate [tex]\( 21^3 \)[/tex]:
[tex]\[ 21^3 = 9261 \][/tex]
### Step 4: Sum [tex]\( 31^6 \)[/tex] and [tex]\( 21^3 \)[/tex]
Add the results from [tex]\( 31^6 \)[/tex] and [tex]\( 21^3 \)[/tex]:
[tex]\[ 31^6 + 21^3 = 887503681 + 9261 = 887512942 \][/tex]
### Step 5: Add [tex]\( 22^8 \)[/tex] and the sum from Step 4
Finally, add the result from [tex]\( 22^8 \)[/tex] to the sum calculated in Step 4:
[tex]\[ 22^8 + (31^6 + 21^3) = 54875873536 + 887512942 = 55763386478 \][/tex]
### Final Answer
The final result of the given expression [tex]\( 22^8 + (31^6 + 21^3) \)[/tex] is:
[tex]\[ 55763386478 \][/tex]
